This may sound like a stupid reply, as I don't know the method for entering you mobo's BIOS ..... but, are you sure that F10 is the proper key?
Two of my computers use the F1 key and the other three use the Delete key for entering the BIOS.
-Edit to add- A couple of my keyboards are Logitech Elite keyboards that offer navigation controls via the function keys. There is a F-Lock button that defaults to the off mode to allow for the navigation functions. If I want to use the function keys in their normal manner, I have to turn on the F-Lock.
Not sure if this applies to your keyboard, but thought I'd throw it out there.